prove that the angles in the same segment of a circle are equal
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Step-by-step explanation:
Let ABCD be a circle, and let ∠BAD,∠BED be angles in the same segment BAED.
Let F be the center of ABCD, and join BF and FD.
From the Inscribed Angle Theorem:
∠BFD=2∠BAD
∠BFD=2∠BED
So ∠BAD=∠BED.
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